Common fixed points for compatible maps on the unit interval-Reference-Cited by-同舟云学术

Common fixed points for compatible maps on the unit interval

Published:1992 Issue:2 Volume:115 Page:495-499
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Jungck Gerald

Abstract

Let g g be a continuous self-map of the unit interval I I . It is proved that g g has a common fixed point with every continuous function f : I → I f:I \to I that is nontrivially compatible with g g iff every periodic point of g g is a fixed point of g g .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-115-02/S0002-9939-1992-1105040-0/S0002-9939-1992-1105040-0.pdf

Reference13 articles.

1. W. M. Boyce, Commuting functions with no common fixed points, Abstract no. 67T-218, Notices Amer. Math. Soc. 14 (1967), 280.

2. Commuting functions with no common fixed point;Boyce, William M.;Trans. Amer. Math. Soc.,1969

3. Γ-compact maps on an interval and fixed points;Boyce, William M.;Trans. Amer. Math. Soc.,1971

4. Common fixed points for a class of commuting mappings on an interval;Cano, J.;Proc. Amer. Math. Soc.,1982

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Common best proximity point theorems in Hausdorff topological spaces;Journal of Inequalities and Applications;2024-07-09

2. A Good Question Won’t Go Away: An Example of Mathematical Research;The American Mathematical Monthly;2021-01-02

3. Nonexpansive retracts and weak compatible pairs in metric Spaces;Fixed Point Theory and Applications;2012-06-20

4. Common fixed points for Banach operator pairs with applications;Nonlinear Analysis: Theory, Methods & Applications;2008-11